Synopses & Reviews
Synopsis
The basics of computer algebra and the language of Mathematica are described in this textbook, leading towards an understanding of Mathematica that allows the reader to solve problems in physics, mathematics, and chemistry.
Mathematica is the most widely used system for doing mathematical calculations by computer, including symbolic and numeric calculations and graphics. It is used in physics and other branches of science, in mathematics, education and many other areas.
Synopsis
Part I Lectures.- Computer algebra systems.- Overview of Mathematica.- Expressions.-Patterns and substitutions.- Functions.- Mathematica as a programming language.- Gr bner bases.- Calculus.- Risch algorithm.- Linear algebra.- Input--output and strings.- Packages.- Part II Computer classes.- Plots.- Trigonometric functions.- Quantum oscillator.- Spherical harmonics.- Adding angular momenta in quantum mechanics.- Classical nonlinear oscillator.- Cyclohexane.- Multi-ζ functions.- Quantum nonlinear oscillator.- Riemann curvature tensor.- Rainbow.- Problems for students.